You're a double negative

Given that \(m\) and \(n\) are integers then \(mn(m^{80} - n^{80})\) is always divisible by the positive integer \(N\). Find the maximum value of \(N\).

Bonus question: Generalize this for \(mn(m^{L} - n^L) \) for some whole number \(L\).

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